Roller Radius given Maximum Tooth Height above Pitch Polygon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket
R = 0.625*P-hamax+0.8*P/z
This formula uses 4 Variables
Variables Used
Roller Radius of Chain - (Measured in Meter) - Roller Radius of Chain is the distance between the center and the point on the circumference of the roller of a chain.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is usually defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link.
Maximum Sprocket Tooth Height - (Measured in Meter) - Maximum Sprocket Tooth Height is the maximum limit of the tooth height on the sprocket wheel.
Number of teeth on sprocket - Number of teeth on sprocket is defined as the number of teeth (which mesh with another compatible toothed part to the chain or convert torque and speed).
STEP 1: Convert Input(s) to Base Unit
Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Maximum Sprocket Tooth Height: 8.9 Millimeter --> 0.0089 Meter (Check conversion here)
Number of teeth on sprocket: 23 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = 0.625*P-hamax+0.8*P/z --> 0.625*0.022-0.0089+0.8*0.022/23
Evaluating ... ...
R = 0.00561521739130435
STEP 3: Convert Result to Output's Unit
0.00561521739130435 Meter -->5.61521739130435 Millimeter (Check conversion here)
FINAL ANSWER
5.61521739130435 โ‰ˆ 5.615217 Millimeter <-- Roller Radius of Chain
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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23 Geometric Relationships for Chain Calculators

Number of Links in Chain
Go Number of links in chain = 2*(Centre Distance between Chain Pulleys/Pitch of Chain)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch of Chain/Centre Distance between Chain Pulleys)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2
Roller Radius given Top Diameter of Sprocket Wheel
Go Roller Radius of Chain = (Pitch Circle Diameter of Sprocket+(Pitch of Chain*(1-(1.6/Number of teeth on sprocket)))-Top Diameter of Sprocket Wheel)/2
Roller Radius given Maximum Tooth Height above Pitch Polygon
Go Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket
Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity
Go Number of teeth on sprocket = Average Chain Velocity*60/(Pitch of Chain*Speed of chain drive shaft in rpm)
Pitch of chain given Average Chain Velocity
Go Pitch of Chain = Average Chain Velocity*60/(Number of teeth on sprocket*Speed of chain drive shaft in rpm)
Average Chain Velocity given Number of Teeth on Sprocket
Go Average Chain Velocity = Number of teeth on sprocket*Pitch of Chain*Speed of chain drive shaft in rpm/60
Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity
Go Speed of chain drive shaft in rpm = Average Chain Velocity*60/(pi*Pitch Circle Diameter of Sprocket)
Average Velocity of Chain
Go Average Chain Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of chain drive shaft in rpm/60
Pitch of chain given Pitch Circle Diameter
Go Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of teeth on sprocket)
Number of Teeth on Sprocket given Pitch Circle Diameter
Go Number of teeth on sprocket = 180*asin(Pitch of Chain/Pitch Circle Diameter of Sprocket)
Speed of Rotation of Driving Shaft given Velocity Ratio of Chain Drives
Go Angular speed of chain driving shaft = Velocity Ratio of Chain Drive*Angular speed of chain driven shaft
Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives
Go Angular speed of chain driven shaft = Angular speed of chain driving shaft/Velocity Ratio of Chain Drive
Velocity Ratio of Chain Drives
Go Velocity Ratio of Chain Drive = Angular speed of chain driving shaft/Angular speed of chain driven shaft
Number of Teeth on Driving Sprocket given Velocity of Chain Drives
Go Number of Teeth on Driving Sprocket = Number of Teeth on Driven Sprocket/Velocity Ratio of Chain Drive
Number of Teeth on Driven Sprocket given Velocity of Chain Drives
Go Number of Teeth on Driven Sprocket = Number of Teeth on Driving Sprocket*Velocity Ratio of Chain Drive
Roller Radius given Tooth Flank Radius
Go Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of teeth on sprocket)^2+180))
Roller Radius given Minimum Tooth Flank Radius
Go Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of teeth on sprocket+2)*0.24)
Chain Pitch given Minimum Tooth Height above Pitch Polygon
Go Pitch of Chain = (Minimum Tooth Height+Roller Radius of Chain)/0.5
Roller Radius given Minimum Tooth Height above Pitch Polygon
Go Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height
Number of Links in Chain given Length of Chain
Go Number of links in chain = Length of Chain/Pitch of Chain
Pitch of chain given Length of Chain
Go Pitch of Chain = Length of Chain/Number of links in chain
Length of Chain
Go Length of Chain = Number of links in chain*Pitch of Chain
Roller Radius given Minimum Roller Seating Radius
Go Roller Radius of Chain = Minimum Roller Seating Radius/(2*0.505)

Roller Radius given Maximum Tooth Height above Pitch Polygon Formula

Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket
R = 0.625*P-hamax+0.8*P/z

Define a Sprocket?

A sprocket, sprocket-wheel, or chainwheel is a profiled wheel with teeth, or cogs, that mesh with a chain, track, or other perforated or indented material. The name 'sprocket' applies generally to any wheel upon which radial projections engage a chain passing over it.

How to Calculate Roller Radius given Maximum Tooth Height above Pitch Polygon?

Roller Radius given Maximum Tooth Height above Pitch Polygon calculator uses Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket to calculate the Roller Radius of Chain, The Roller Radius given Maximum Tooth Height above Pitch Polygon formula is defined as the distance from the center of an axle to the ground. Roller Radius of Chain is denoted by R symbol.

How to calculate Roller Radius given Maximum Tooth Height above Pitch Polygon using this online calculator? To use this online calculator for Roller Radius given Maximum Tooth Height above Pitch Polygon, enter Pitch of Chain (P), Maximum Sprocket Tooth Height (hamax) & Number of teeth on sprocket (z) and hit the calculate button. Here is how the Roller Radius given Maximum Tooth Height above Pitch Polygon calculation can be explained with given input values -> 5615.217 = 0.625*0.022-0.0089+0.8*0.022/23.

FAQ

What is Roller Radius given Maximum Tooth Height above Pitch Polygon?
The Roller Radius given Maximum Tooth Height above Pitch Polygon formula is defined as the distance from the center of an axle to the ground and is represented as R = 0.625*P-hamax+0.8*P/z or Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket. Pitch of Chain is usually defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link, Maximum Sprocket Tooth Height is the maximum limit of the tooth height on the sprocket wheel & Number of teeth on sprocket is defined as the number of teeth (which mesh with another compatible toothed part to the chain or convert torque and speed).
How to calculate Roller Radius given Maximum Tooth Height above Pitch Polygon?
The Roller Radius given Maximum Tooth Height above Pitch Polygon formula is defined as the distance from the center of an axle to the ground is calculated using Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket. To calculate Roller Radius given Maximum Tooth Height above Pitch Polygon, you need Pitch of Chain (P), Maximum Sprocket Tooth Height (hamax) & Number of teeth on sprocket (z). With our tool, you need to enter the respective value for Pitch of Chain, Maximum Sprocket Tooth Height & Number of teeth on sprocket and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Roller Radius of Chain?
In this formula, Roller Radius of Chain uses Pitch of Chain, Maximum Sprocket Tooth Height & Number of teeth on sprocket. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Roller Radius of Chain = (Pitch Circle Diameter of Sprocket+(Pitch of Chain*(1-(1.6/Number of teeth on sprocket)))-Top Diameter of Sprocket Wheel)/2
  • Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of teeth on sprocket)^2+180))
  • Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height
  • Roller Radius of Chain = Minimum Roller Seating Radius/(2*0.505)
  • Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of teeth on sprocket+2)*0.24)
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